Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/5CDFEBC8-E117-4179-9756-2AC79F2E704D | - |
| Identifier | https://doi.org/ 10.1109/TAC.2018.2800792 | - |
| Identifier | https://ieeexplore.ieee.org/document/8278166/ | - |
| Language | en | - |
| Extent | 8 pages | en |
| Title | Compensation of transport actuator dynamics with input-dependent moving controlled boundary | en |
| Creator | Bekiaris-Liberis Nikolaos | en |
| Creator | Μπεκιαρης-Λυμπερης Νικολαος | el |
| Creator | Krstić, Miroslav | en |
| Publisher | Institute of Electrical and Electronics Engineers | en |
| Description | Nikolaos Bekiaris-Liberis was supported by the funding from the European Commission’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 747898, project PADECOT. | en |
| Content Summary | We introduce and solve the stabilization problem of a transport PDE/nonlinear ODE cascade, in which the PDE state evolves on a domain whose length depends on the boundary values of the PDE state itself. In particular, we develop a predictor-feedback control design, which compensates such transport PDE dynamics. We prove local asymptotic stability of the closed-loop system in the C1 norm of the PDE state employing a Lyapunov-like argument and introducing a backstepping transformation. We also highlight the relation of the PDE-ODE cascade to a nonlinear system with input delay that depends on past input values and present the predictor-feedback control design for this representation as well. | en |
| Type of Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2018-04-25 | - |
| Date of Publication | 2018 | - |
| Subject | Moving boundary | en |
| Subject | Delay systems | en |
| Subject | Distributed parameter systems | en |
| Subject | Predictor-feedback | en |
| Bibliographic Citation | N. Bekiaris-Liberis and M. Krstic, "Compensation of transport actuator dynamics with input-dependent moving controlled boundary," IEEE Trans. Automat. Contr., Early access, 2018. doi: 10.1109/TAC.2018.2800792 | en |
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